103 citations · 379 across the 58 of their papers we have counts for
62 papers
Layer potentials and essentially translation invariant pseudodifferential operators on manifolds with cylindrical ends
Mirela Kohr, Victor Nistor, Wolfgang L. Wendland
Motivated by the study of layer potentials on manifolds with straight conical or cylindrical ends, we introduce and study two classes (or calculi) of pseudodifferential operators d…
Polynomial bounds for the solutions of parametric transmission problems on smooth, bounded domains
Simon Labrunie, Hassan Mohsen, Victor Nistor
We consider a \emph{family} of elliptic second order differential operators on a domain whose coefficients depend on the space variable…
Analysis on noncompact manifolds and Index Theory: Fredholm conditions and Pseudodifferential operators
Ivan Beschastnyi, Catarina Carvalho, Victor Nistor +1
We provide Fredholm conditions for compatible differential operators on certain Lie manifolds (that is, on certain possibly non-compact manifolds with nice ends). We discuss in mor…
The -unique continuation property on manifolds with bounded geometry and the deformation operator
Nadine Große, Mirela Kohr, Victor Nistor
A differential operator satisfies the -unique continuation property if every -solution of that vanishes on an open subset vanishes identically. We study the …
Approximate Solutions to Second-Order Parabolic Equations: evolution systems and discretization
Wen Cheng, Anna L. Mazzucato, Victor Nistor
We study the discretization of a linear evolution partial differential equation when its Green function is known. We provide error estimates both for the spatial approximation and…
Fredholm conditions for operators invariant with respect to compact Lie group actions
Alexandre Baldare, Rémi Côme, Victor Nistor
Let be a compact Lie group acting smoothly on a smooth, compact manifold , let be a --invariant, classical pseudodifferential operator acting bet…